Universidad Complutense de Madrid
E-Prints Complutense

Tests for bivariate symmetry against ordered alternatives in square contingency tables

Impacto

Downloads

Downloads per month over past year

Menéndez Calleja, María Luisa and Pardo Llorente, Julio Ángel and Pardo Llorente, Leandro (2003) Tests for bivariate symmetry against ordered alternatives in square contingency tables. Australian & New Zealand Journal of Statistics, 45 (1). pp. 115-123. ISSN 1369-1473

[img] PDF
Restringido a Repository staff only

145kB

Official URL: http://onlinelibrary.wiley.com/doi/10.1111/1467-842X.00265/pdf


URLURL Type
http://onlinelibrary.wiley.comPublisher


Abstract

Let X and Y denote two ordinal response variables, each having I levels. When subjects are classified on both variables, there are I-2 possible combinations of classifications. Let p(ij) = Pr(X = i, Y = j). This paper introduces a family of tests based on phi-divergence measures for testing H-0: p(ij) = p(ji) against H-1: p(ij) greater than or equal to p(ji) (i greater than or equal to j); and for testing H-1 against H-2: p(ij) unrestricted. A simulation study assesses some of the family of tests introduced in this paper in comparison to the likelihood ratio test.


Item Type:Article
Uncontrolled Keywords:chi-bar squared distribution; contingency table; φ-divergence measure
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:17528
Deposited On:21 Dec 2012 11:34
Last Modified:26 Jul 2018 07:21

Origin of downloads

Repository Staff Only: item control page